Mahatma Gandhi was born on October 2, 1869. T | vedclass

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(C) To find the day of the week for October $2, 1869$,we calculate the total number of odd days up to that date.$1$. Years completed: $1868$ years.$2$

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Saturday

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(C) To find the day of the week for October $2, 1869$,we calculate the total number of odd days up to that date.$1$. Years completed: $1868$ years.$2$. Split $1868$ into $1600 + 200 + 68$ years.- $1600$ years have $0$ odd days.- $200$ years have $3$ odd days.- In $68$ years,the number of leap years is $\lfloor 68/4 floor = 17$. The number of ordinary years is $68 - 17 = 51$.- Odd days in $68$ years $= (17 	imes 2) + (51 	imes 1) = 34 + 51 = 85$ days. $85 \div 7 = 12$ weeks and $1$ odd day.- Total odd days for $1868$ years $= 0 + 3 + 1 = 4$ odd days.$3$. Days in $1869$ up to October $2$:- January $(31)$,February $(28)$,March $(31)$,April $(30)$,May $(31)$,June $(30)$,July $(31)$,August $(31)$,September $(30)$,October $(2)$.- Total days $= 31 + 28 + 31 + 30 + 31 + 30 + 31 + 31 + 30 + 2 = 275$ days.- $275 \div 7 = 39$ weeks and $2$ odd days.$4$. Total odd days $= 4 + 2 = 6$ odd days.- $0$ = Sunday,$1$ = Monday,$2$ = Tuesday,$3$ = Wednesday,$4$ = Thursday,$5$ = Friday,$6$ = Saturday.- Since the total is $6$,the day was Saturday.

Mahatma Gandhi was born on October $2, 1869$. The day of the week was

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